A rubber ball (4 kg) falls from a height of 50 m and collides elastically with the floor. What is the velocity of the ball just after it rebounds from the floor?

A 2.40 kg can of coffee moving at 1.50 m/s in the +x-directionon a kitchen counter collides head-on with a 1.20 kg box ofmacaroni that is initially at rest. After the collision the can of coffeeis moving at 0.825 m/s in the +x-direction. (a) What is the velocity(magnitude and direction) of the box of macaroni after the collision? (b)What are the kinetic energies of the can before and after the collision,and of the box after the collision? (c) Is this collision elastic, inelastic,or completely inelastic? How can you tell?

A 0.30 kg softball has a velocity of 12 m/s at an angle of 28° below the horizontal just before making contact with the bat. What is the magnitude of the change in momentum of the ball while in contact with the bat if the ball leaves with a velocity of 15 m/s horizontally back toward the pitcher? 4.2 kg.m/s 8.6 kg.m/s 7.9 kg-m/s 5.7 kg-m/s 3.3 kg-m/s

r = 1 A A 1-kg collar has a velocity of 9 m/s when to the right when it is at A. It then travels along the circular smooth guide of radius r+l B 199-cm from A, to B, a quarter of circle right-down to A. The collar is also connected to a spring, attached on its right-hand side to the collar and its left- hand side to a point, the same height as B

5) Assume a perfectly plastic impact as the 5-kg body falls from a height of 2.6 m onto a plate of mass 2.5 kg. This plate is mounted on a spring having a spring constant 1772 N/m. Neglect the mass of the spring as well as fric- tion, and compute the maximum deflection of the spring after impact. 2.6 m 5kg 2.5 kg K = 1772 N/m

4) A toy wood block of mass m1= 3.25 kg is pushed by hand to compress a spring with a spring constant k= 550 N/m a distance As = 25cm. The toy block is released by the hand and the spring launches the toy block across a frictionless surface toward a more massive wood block ofimass m2= 5.0 kg. The 3.5 kg wood block is moving with an unkown velocity right before it collides with the more massive wood block which is at rest. After the collision, the 5.0 kg block is moving to the right with a velocity of 3 m/s. The more massive 5.0 kg block encounters a long rough section of surface having a coefficient of kinetic uk=0.22 and is eventually brought to rest. a) Find the velocity of the 3.25 kg block just before the collision. b) Find the velocity of the 3.25 kg block just after the collision c) What is the system's energy just before the collision? d) What is the system's energy just after the collision? e) Is this collision, elastic, completely inelastic, or inelastic? f) What is the…

A happy kangaroo leaps vertically upward at a time t = 0. At time t = 0.50 s the kangaroo is at a height of 2.0 meters above the ground. What is the speed and direction of motion of the kangaroo at this time (at t = 0.50 s)? Neglect air friction. 4.9 m/s downward 1.55 m/s upward O none of these 2.45 m/s downward 4.9 m/s upward 2.45 m/s upward

164 Chapter 5 The Momentum Equation and its Applications 5.5 A uniform pipe 75 m long containing water is fitted with a plunger. The water is initially at rest. If the plunger is forced into the pipe in such a way that the water is acceler- ated uniformly to a velocity of 1.7 m s¹ in 1.4 s what will be the increase of pressure on the face of the plunger assuming that the water and the pipe are not elastic? If instead of being uniformly accelerated the plunger is driven by a crank 0.25 m long and making 120 rev min-¹ so that the plunger moves with simple harmonic motion, what would be the maximum pressure on the face of the piston? [91 kN m², 2962.5 kN m-²2] 5.6 A flat plate is struck normally by a jet of water 50 mm in diameter with a velocity of 18 m s¹. Calculate (a) the force on the plate when it is stationary, (b) the force on the plate when it moves in the same direction as the jet with a velocity of 6 m s-¹, (c) the work done per second and the efficiency in case (b). [(a) 636.2…

Learning Goal: A particle of mass M moves along a straight line with initial speed v₁. A force of magnitude F pushes the particle a distance s along the direction of its motion. 99°F Sunny

A robber with a mass of 61.91 kg runs away from his victim at a velocity of 7.911 m/s. A 119.1 kg cop running at 5.032 m/s from the opposite direction collides with and tackles the thief. As the cop is taking down the thief, what is their horizontal velocity?